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单词 Imaginary plane
释义

Imaginary plane

中文百科

复数 (数学) Complex number

（重定向自Imaginary plane）
函数f(x)=(x²-1)(x-2-i)²/(x²+2+2i)的绘图。色相表示函数的辐角，饱和度与明度表示函数的幅值。
X = A + B
X = AB
X = A*

复数，为实数的延伸，它使任一多项式方程序都有根。复数当中有个「虚数单位」i，它是-1的一个平方根，即i ^2 = -1。任一复数都可表达为x + yi，其中x及y皆为实数，分别称为复数之「实部」和「虚部」。

复数的发现源于三次方程的根的表达式。数学上，「复」字表明所讨论的数域为复数，如复矩阵、复变函数等。

英语百科

Complex number 复数 (数学)

（重定向自Imaginary plane）
A complex number can be visually represented as a pair of numbers (a, b) forming a vector on a diagram called an Argand diagram, representing the complex plane.
An illustration of the complex plane. The real part of a complex number z = x + iy is x, and its imaginary part is y.
Figure 1: A complex number plotted as a point (red) and position vector (blue) on an Argand diagram; a+bi is the rectangular expression of the point.

A complex number is a number that can be expressed in the form a + bi, where a and b are real numbers and i is the imaginary unit, that satisfies the equation i = −1. In this expression, a is the real part and b is the imaginary part of the complex number.
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更新时间：2025/6/18 3:37:02